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Finding the Third Proportional to 824,707 and 1,276,967

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Solution

The third proportional to 824,707 and 1,276,967 is: 1,977,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,707 : 1,276,967 = 1,276,967 : x
  2. Step 2: Convert to fraction form
    824,707/1,276,967 = 1,276,967/x
  3. Step 3: Cross multiply
    824,707x = 1,276,967 × 1,276,967
  4. Step 4: Simplify right side
    824,707x = 1,630,644,719,089
  5. Step 5: Solve for x
    x = 1,630,644,719,089/824,707
  6. Step 6: Final answer
    x = 1,977,241.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.